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Measuring and Constructing Angles

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1 Measuring and Constructing Angles
1.3 Measuring and Constructing Angles

2 1.3 Measuring and Constructing Angles
Angle- a figure that consists of two different rays with a common endpoint Vertex- endpoint (corner) Interior of an angle- set of all points inside of the angle

3 Exterior of an angle- set of all points on the outside of the angle
Angle are measured in degrees Postulate (Protractor Postulate)- Given a point A on All rays drawn for point A can be matched one to one with real numbers from 0 to 180.

4 Types of Angles Acute Angle- Measures greater than 0˚ and less than 90˚ Right Angle- Measures 90˚ Obtuse Angle- Measures greater than 90˚ to less that 180˚ Straight Angle- Measures 180˚

5 Examples: Use a protractor to draw a 30˚, 90˚, and 153˚ angles and label the type of angle.

6 Congruent angles- angles that have the same measures
Use a compass to construct congruent angles

7 Postulate 1.3.2 (Angle Addition Postulate) – If S is in the interior of , then

8 Examples

9 Angle bisector- a ray that divides an angle in half

10 Examples:

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